Dynamic Non-Cooperative Games as a Foundation for Modeling Dynamic User Equilibrium
dynamic user equilibrium, differential variational inequality, optimal control
In this paper we take the point of view that there is a formalism for modeling a within-day dynamic user equilibrium (DUE) that is an extension of traditional differential game theory to accomodate the natural formulation of DUE as an infinite dimensional differential variational inequality (DVI) involving explicit state-dependent time shifts, explicit control variables and explicit equations of state. We also show how a second time scale (day-today) may be included to model the learning process behind the formation of demand. An example based on both time scales is included.
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Citation / Publisher Attribution
First International Symposium on Dynamic Traffic Assignment, 18 p.
Scholar Commons Citation
Friesz, Terry L.; Mookherjee, Reetabrata; and Kwon, Changhyun, "Dynamic Non-Cooperative Games as a Foundation for Modeling Dynamic User Equilibrium" (2006). Industrial and Management Systems Engineering Faculty Publications. 44.